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Generalized Lucas polynomials and relationships between the Fibonacci polynomials and Lucas polynomials

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Abstract In this article, we find elements of the Lucas polynomials by using two matrices. We extend the study to the n-step Lucas polynomials. Then the Lucas polynomials and their… Click to show full abstract

Abstract In this article, we find elements of the Lucas polynomials by using two matrices. We extend the study to the n-step Lucas polynomials. Then the Lucas polynomials and their relationship are generalized in the paper. Furthermore, we give relationships between the Fibonacci polynomials and the Lucas polynomials.

Keywords: lucas polynomials; polynomials relationships; relationships fibonacci; generalized lucas; fibonacci polynomials; polynomials lucas

Journal Title: Communications in Algebra
Year Published: 2019

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